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36541530 = 2345197229
BaseRepresentation
bin1000101101100…
…1010001011010
32112202111120000
42023121101122
533323312110
63343113430
7622412034
oct213312132
975674500
1036541530
1119699213
12102a2876
13775560c
144bd2c54
15331c1c0
hex22d945a

36541530 has 80 divisors (see below), whose sum is σ = 99186120. Its totient is φ = 9652608.

The previous prime is 36541523. The next prime is 36541559. The reversal of 36541530 is 3514563.

36541530 is a `hidden beast` number, since 3 + 654 + 1 + 5 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36036009 + 505521 = 6003^2 + 711^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36541494 and 36541503.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159456 + ... + 159684.

Almost surely, 236541530 is an apocalyptic number.

36541530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36541530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49593060).

36541530 is an abundant number, since it is smaller than the sum of its proper divisors (62644590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36541530 is a wasteful number, since it uses less digits than its factorization.

36541530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 36541530 is about 6044.9590569333. The cubic root of 36541530 is about 331.8401332709.

It can be divided in two parts, 3654 and 1530, that added together give a square (5184 = 722).

The spelling of 36541530 in words is "thirty-six million, five hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 197 229 270 394 405 458 591 687 810 985 1145 1182 1374 1773 1970 2061 2290 2955 3435 3546 4122 5319 5910 6183 6870 8865 10305 10638 12366 15957 17730 18549 20610 26595 30915 31914 37098 45113 53190 61830 79785 90226 92745 135339 159570 185490 225565 270678 406017 451130 676695 812034 1218051 1353390 2030085 2436102 3654153 4060170 6090255 7308306 12180510 18270765 36541530